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Thermalization and isotropization in heavy-ion collisions

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Abstract

Our current understanding of the processes driving the thermalization and isotropization of the quark gluon plasma (QGP) created in ultrarelativistic heavy-ion collisions (URHICs) is reviewed. Initially, the phenomenological evidence in favour of the creation of a thermal but momentum–space anisotropic QGP in URHICs is discussed. Further, the degree of isotropization using viscous (dissipative) hydrodynamics, weak-coupling approaches to QGP dynamics, and strong-coupling approaches to QGP dynamics are discussed. Finally, recent progress in the area of real-time non-Abelian gauge field simulations and non-Abelian Boltzmann–Vlasov-based hard-loop simulations are reported.

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References

  1. P Huovinen, P F Kolb, Ulrich W Heinz, P V Ruuskanen and S A Voloshin, Phys. Lett. B 503, 58 (2001), hep-ph/0101136

  2. Tetsufumi Hirano and Keiichi Tsuda, Phys. Rev. C 66, 054905 (2002), nucl-th/0205043

  3. M J Tannenbaum, Rept. Prog. Phys. 69, 2005 (2006), nucl-ex/0603003

  4. Peter F Kolb and Ulrich W Heinz, in: Quark gluon plasma edited by R C Hwa et al (World Scientific, Singapore, 2004) pp. 634–714, nucl-th/0305084 (2003)

  5. Azwinndini Muronga, Phys. Rev. Lett. 88, 062302 (2002), nucl-th/0104064

  6. Azwinndini Muronga, Phys. Rev. C 69, 034903 (2004), nucl-th/0309055

  7. Azwinndini Muronga and Dirk H Rischke, nucl-th/0407114 (2004)

  8. Rudolf Baier, Paul Romatschke and Urs Achim Wiedemann, Phys. Rev. C 73, 064903 (2006), hep-ph/0602249

  9. Paul Romatschke and Ulrike Romatschke, Phys. Rev. Lett. 99, 172301 (2007), 0706.1522

  10. Rudolf Baier, Paul Romatschke, Dam Thanh Son, Andrei O Starinets and Mikhail A Stephanov, J. High Energy Phys. 04, 100 (2008), 0712.2451

  11. K Dusling and D Teaney, Phys. Rev. C 77, 034905 (2008), 0710.5932

  12. Matthew Luzum and Paul Romatschke, Phys. Rev. C 78, 034915 (2008), 0804.4015

  13. Huichao Song and Ulrich W Heinz, J. Phys. G 36, 064033 (2009), 0812.4274

  14. Ulrich W Heinz, Relativistic heavy ion physics, Landolt–Boernstein new series, I/23 edited by R Stock (Springer Verlag, New York, 2010), Chap. 5, 0901.4355

  15. A El, Z Xu and C Greiner, Phys. Rev. C 81, 041901 (2010), 0907.4500

  16. J Peralta-Ramos and E Calzetta, Phys. Rev. D 80, 126002 (2009), 0908.2646

  17. J Peralta-Ramos and E Calzetta, Phys. Rev. C 82, 054905 (2010), 1003.1091

  18. G S Denicol, T Kodama and T Koide, J. Phys. G 37, 094040 (2010), 1002.2394

  19. G S Denicol, T Koide and D H Rischke, Phys. Rev. Lett. 105, 162501 (2010), 1004.5013

  20. Bjorn Schenke, Sangyong Jeon and Charles Gale, Phys. Rev. Lett. 106, 042301 (2011), 1009.3244

  21. Bjoern Schenke, Sangyong Jeon and Charles Gale, Phys. Lett. B 702, 59 (2011), 1102.0575

  22. Chun Shen, Ulrich Heinz, Pasi Huovinen and Huichao Song, Phys. Rev. C 84, 044903 (2011), 1105.3226

  23. Piotr Bozek, Phys. Lett. B 699, 283 (2011), 1101. 1791

  24. Harri Niemi, Gabriel S Denicol, Pasi Huovinen, Etele Molnar and Dirk H Rischke, Phys. Rev. Lett. 106, 212302 (2011), 1101. 2442

  25. H Niemi, G S Denicol, P Huovinen, E Molnár, and D H Rischke, Phys. Rev. C 86, 014909 (2012)

    Article  ADS  Google Scholar 

  26. Piotr BoŻek and Iwona Wyskiel-Piekarska, Phys. Rev. C 85, 064915 (2012)

    Article  ADS  Google Scholar 

  27. G S Denicol, H Niemi, E Molnár, and D H Rischke, Phys. Rev. D 85, 114047 (2012)

    Article  ADS  Google Scholar 

  28. Mauricio Martinez and Michael Strickland, Nucl. Phys. A 848, 183 (2010), 1007.0889

  29. Wojciech Florkowski and Radoslaw Ryblewski, Phys. Rev. C 83, 034907 (2011), 1007.0130

  30. Radoslaw Ryblewski and Wojciech Florkowski, J. Phys. G 38, 015104 (2011), 1007.4662

  31. Mauricio Martinez and Michael Strickland, Nucl. Phys. A 856, 68 (2011), 1011.3056

  32. Radoslaw Ryblewski and Wojciech Florkowski, Eur. Phys. J. C 71, 1761 (2011), 1103.1260

  33. Wojciech Florkowski and Radoslaw Ryblewski, Phys. Rev. C 85, 044902 (2012), 1111.5997

  34. Mauricio Martinez, Radoslaw Ryblewski and Michael Strickland, Phys. Rev. C 85, 064913 (2012), 1204.1473

  35. Radoslaw Ryblewski and Wojciech Florkowski, Phys. Rev. C 85, 064901 (2012), 1204.2624

  36. Wojciech Florkowski, Radoslaw Maj, Radoslaw Ryblewski and Michael Strickland, Phys. Rev. C 87, 034914 (2013), 1209.3671

  37. J Peralta-Ramos and E Calzetta, Phys. Rev. D 87, 3, 034003 (2013), 1212.0824

  38. Wojciech Florkowski and Radoslaw Maj, Acta Phys. Polon. B 44, 10, 2003 (2013), 1309.2786

  39. Dennis Bazow, Ulrich W Heinz and Michael Strickland 1311.6720 (2013), Phys. Rev. C 90, 054910 (2014)

  40. Ulrich W Heinz, Nucl. Phys. A 418, 603C (1984)

    Article  ADS  Google Scholar 

  41. Stanislaw Mrowczynski, Phys. Lett. B 214, 587 (1988)

    Article  Google Scholar 

  42. Yu E Pokrovsky and A V Selikhov, JETP Lett. 47, 12 (1988)

    ADS  Google Scholar 

  43. S Mrowczynski, Phys. Lett. B 314, 118 (1993)

    Article  ADS  Google Scholar 

  44. Jean-Paul Blaizot and Edmond Iancu, Phys. Rept. 359, 355 (2002), hep-ph/0101103

  45. Paul Romatschke and Michael Strickland, Phys. Rev. D 68, 036004 (2003), hep-ph/0304092

  46. Peter Brockway Arnold, Jonathan Lenaghan and Guy D Moore, J. High Energy Phys. 0308, 002 (2003), Erratum added online, sep /29 /2004, hep-ph/0307325

  47. Peter Brockway Arnold and Jonathan Lenaghan, Phys. Rev. D 70, 114007 (2004), hep-ph/0408052

  48. Paul Romatschke and Michael Strickland, Phys. Rev. D 70, 116006 (2004), hep-ph/0406188

  49. Peter Arnold, Jonathan Lenaghan, Guy D Moore and Laurence G Yaffe, Phys. Rev. Lett. 94, 072302 (2005), nucl-th/0409068

  50. Stanislaw Mrowczynski, Anton Rebhan and Michael Strickland, Phys. Rev. D 70, 025004 (2004), hep-ph/0403256

  51. Anton Rebhan, Paul Romatschke and Michael Strickland, Phys. Rev. Lett. 94, 102303 (2005), hep-ph/0412016

  52. Anton Rebhan, Paul Romatschke and Michael Strickland, J. High Energy Phys. 09, 041 (2005), hep-ph/0505261

  53. Paul Romatschke and Raju Venugopalan, Phys. Rev. Lett. 96, 062302 (2006), hep-ph/0510121

  54. Paul Romatschke and Raju Venugopalan, Phys. Rev. D 74, 045011 (2006), hep-ph/0605045

  55. Paul Romatschke and Anton Rebhan, Phys. Rev. Lett. 97, 252301 (2006), hep-ph/0605064

  56. Anton Rebhan, Michael Strickland and Maximilian Attems, Phys. Rev. D 78, 045023 (2008), 0802.1714

  57. Kenji Fukushima and Francois Gelis, Nucl. Phys. A 874, 108 (2012), 1106.1396

  58. Aleksi Kurkela and Guy D Moore, J. High Energy Phys. 1112, 044 (2011), 1107.5050

  59. Aleksi Kurkela and Guy D Moore, J. High Energy Phys. 1111, 120 (2011), 1108.4684

  60. Jean-Paul Blaizot, Francois Gelis, Jin-Feng Liao, Larry McLerran and Raju Venugopalan, Nucl. Phys. A 873, 68 (2012), 1107.5296

  61. Maximilian Attems, Anton Rebhan and Michael Strickland, Phys. Rev. D 87, 025010 (2013), 1207.5795

  62. Aleksi Kurkela and Guy D Moore, 1209.4091 (2012)

  63. Jurgen Berges, Kirill Boguslavski and Soren Schlichting, Phys. Rev. D 85, 076005 (2012), 1201.3582

  64. Jean-Paul Blaizot, Jinfeng Liao and Larry McLerran, Nucl. Phys. A 920, 58 (2013), 1305.2119

  65. Paul M Chesler and Laurence G Yaffe, Phys. Rev. Lett. 102, 211601 (2009), 0812.2053

  66. Daniel Grumiller and Paul Romatschke, J. High Energy Phys. 0808, 027 (2008), 0803.3226

  67. Paul M Chesler and Laurence G Yaffe, Phys. Rev. D 82, 026006 (2010), 0906.4426

  68. Javier L Albacete, Yuri V Kovchegov and Anastasios Taliotis, J. High Energy Phys. 0905, 060 (2009), 0902.3046

  69. Bin Wu and Paul Romatschke, Int. J. Mod. Phys. C 22, 1317 (2011), 1108.3715

  70. Michal P Heller, Romuald A Janik and Przemyslaw Witaszczyk, Phys. Rev. Lett. 108, 201602 (2012), 1103.3452

  71. Paul M Chesler and Derek Teaney, 1112.6196 (2011)

  72. Michal P Heller, Romuald A Janik and Przemyslaw Witaszczyk, Phys. Rev. D 85, 126002 (2012), 1203.0755

  73. Wilke van der Schee, Phys. Rev. D 87, 061901 (2013), 1211.2218

  74. Paul Romatschke and J Drew Hogg, J. High Energy Phys. 1304, 048 (2013), 1301.2635

  75. Jorge Casalderrey-Solana, Michal P Heller, David Mateos and Wilke van der Schee, Phys. Rev. Lett. 111, 181601 (2013), 1305. 4919

  76. Wilke van der Schee, Paul Romatschke and Scott Pratt, Phys. Rev. Lett. 111, 222302 (2013), 1307.2539

  77. J Berges, K Boguslavski, S Schlichting and R Venugopalan, 1303.5650 (2013), Phys. Rev. D 89, 074011 (2014)

  78. Juergen Berges, Kirill Boguslavski, Soeren Schlichting and Raju Venugopalan, 1311.3005 (2013), Phys. Rev. D 89, 114007 (2014)

  79. Paul Romatschke and Michael Strickland, Phys. Rev. D 69, 065005 (2004), hep-ph/0309093

  80. Paul Romatschke and Michael Strickland, Phys. Rev. D 71, 125008 (2005), hep-ph/0408275

  81. Bjorn Schenke and Michael Strickland, Phys. Rev. D 76, 025023 (2007), hep-ph/0611332

  82. Mauricio Martinez and Michael Strickland, Phys. Rev. Lett. 100, 102301 (2008), 0709.3576

  83. Mauricio Martinez and Michael Strickland, Phys. Rev. C 78, 034917 (2008), 0805.4552

  84. Adrian Dumitru, Yasushi Nara, Bjoern Schenke and Michael Strickland, Phys. Rev. C 78, 024909 (2008), 0710.1223

  85. Adrian Dumitru, Yun Guo and Michael Strickland, Phys. Lett. B 662, 37 (2008), 0711.4722

  86. Lusaka Bhattacharya and Pradip Roy, 0809.4596 (2008)

  87. Lusaka Bhattacharya and Pradip Roy, Phys. Rev. C 79, 054910 (2009), 0812.1478

  88. Adrian Dumitru, Yun Guo, Agnes Mocsy and Michael Strickland, Phys. Rev. D 79, 054019 (2009), 0901.1998

  89. Y Burnier, M Laine and M Vepsalainen, Phys. Lett. B 678, 86 (2009), 0903.3467

  90. Adrian Dumitru, Yun Guo and Michael Strickland, Phys. Rev. D 79, 114003 (2009), 0903.4703

  91. Owe Philipsen and Marcus Tassler, 0908.1746 (2009)

  92. Lusaka Bhattacharya and Pradip Roy, Phys. Rev. C 81, 054904 (2010), 0907.3607

  93. Lusaka Bhattacharya and Pradip Roy, J. Phys. G 37, 105010 (2010), 1001.1054

  94. Matthew Margotta, Kyle McCarty, Christina McGahan, Michael Strickland and David Yager-Elorriaga, Phys. Rev. D 83, 105019 (2011), 1101.4651

  95. Michael Strickland, Phys. Rev. Lett. 107, 132301 (2011), 1106.2571

  96. Michael Strickland and Dennis Bazow, Nucl. Phys. A 879, 25 (2012), 1112.2761

  97. Mahatsab Mandal, Lusaka Bhattacharya and Pradip Roy, Phys. Rev. C 84, 044910 (2011), 1101.5855

  98. Mahatsab Mandal and Pradip Roy, Phys. Rev. C 86, 024915 (2012), 1105.5528

  99. Michael Strickland, AIP Conf. Proc. 1520, 179 (2013), 1207.5327

  100. Wojciech Florkowski, Radoslaw Ryblewski, and Michael Strickland, Phys. Rev. D 86, 085023 (2012)

    Article  Google Scholar 

  101. Mahatsab Mandal and Pradip Roy, Adv. High Energy Phys. 2013, 371908 (2013)

    Google Scholar 

  102. Kevin Dusling and Shu Lin, Nucl. Phys. A 809, 246 (2008), 0803.1262

  103. Kevin Dusling, 0901.2027 (2008)

  104. Maxime Dion, Jean-Francois Paquet, Bjorn Schenke, Clint Young, Sangyong Jeon et al, Phys. Rev. C 84, 064901 (2011), 1109.4405

  105. Chun Shen, Ulrich W Heinz, Jean-Francois Paquet, Igor Kozlov and Charles Gale, 1308.2111 (2013), Phys. Rev. C 91, 024908 (2015)

  106. Chun Shen, Ulrich W Heinz, Jean-Francois Paquet and Charles Gale, 1308.2440 (2013), Phys. Rev. C 89, 044910 (2014)

  107. Gojko Vujanovic, Clint Young, Bjoern Schenke, Ralf Rapp, Sangyong Jeon et al, 1312.0676 (2013), Phys. Rev. C 89, 034904 (2014)

  108. G Policastro, D T Son and A O Starinets, Phys. Rev. Lett. 87, 081601 (2001), hep-th/0104066

  109. Sayantani Bhattacharyya, Veronika E Hubeny, Shiraz Minwalla and Mukund Rangamani, J. High Energy Phys. 02, 045 (2008), 0712.2456 [109a] A similar time-scale emerges within the kinetic theory framework. [109b] For this figure, the transport coefficient λ 1=0 is taken. In figure 13 of ref. [110] one can find a comparison plot including non-vanishing λ 1.

  110. Wojciech Florkowski, Radoslaw Ryblewski and Michael Strickland, 1305.7234 (2013), Phys. Rev. C 88, 024903 (2013)

  111. Charles Gale, Sangyong Jeon, Bjorn Schenke, Prithwish Tribedy and Raju Venugopalan, Phys. Rev. Lett. 110, 012302 (2013), 1209.6330

  112. Larry D McLerran and Raju Venugopalan, Phys. Rev. D 49, 2233 (1994), hep-ph/9309289

  113. Larry D McLerran and Raju Venugopalan, Phys. Rev. D 49, 3352 (1994), hep-ph/9311205

  114. Edmond Iancu and Raju Venugopalan (2003), hep-ph/0303204 [114a]At τ=0+, the longitudinal pressure is negative due to coherent field effects; however, within a few fractions of a fm/c it becomes positive and at leading order goes to zero rapidly

  115. Michael Strickland, J. Phys. G 34, S429 (2007), hep-ph/0701238

  116. Juergen Berges, Sebastian Scheffler and Denes Sexty, Phys. Rev. D 77, 034504 (2008), 0712.3514

  117. Thomas Epelbaum and Francois Gelis, Phys. Rev. Lett. 111, 232301 (2013), 1307.2214

  118. R Baier, Alfred H Mueller, D Schiff and D T Son, Phys. Lett. B 502, 51 (2001), hep-ph/0009237

  119. Alex Krasnitz, Yasushi Nara and Raju Venugopalan, Phys. Rev. Lett. 87, 192302 (2001), hep-ph/0108092 [119a]This instability is named in reference to the analogous Weibel instability which exists in Abelian electromagnetic plasmas [120].

  120. Erich S Weibel, Phys. Rev. Lett. 2, 83 (1959)

    Article  ADS  Google Scholar 

  121. Stanislaw Mrowczynski and Markus H Thoma, Phys. Rev. D 62, 036011 (2000), hep-ph/0001164

  122. Bjorn Schenke and Michael Strickland, Phys. Rev. D 74, 065004 (2006), hep-ph/0606160

  123. Kenji Fukushima, Acta Phys. Polon. B 42, 2697 (2011), 1111.1025

  124. Kenji Fukushima, 1307.1046 (2013), Phys. Rev. C 89, 024907 (2014)

  125. Kevin Dusling, Thomas Epelbaum, Francois Gelis and Raju Venugopalan, Phys. Rev. D 86, 085040 (2012), 1206.3336

  126. B Basu, Phys. Plasmas (1994-present) 9, 12, 5131 (2002)

    Article  ADS  Google Scholar 

  127. Cristina Manuel and Stanislaw Mrówczyński, Phys. Rev. D 74, 105003 (2006), hep-ph/0606276

  128. E Calzetta and J Peralta-Ramos, 1309.5412 (2013)

  129. Peter Brockway Arnold, Guy D Moore and Laurence G Yaffe, Phys. Rev. D 72, 054003 (2005), hep-ph/0505212

  130. Peter Brockway Arnold and Guy D Moore, Phys. Rev. D 73, 025006 (2006), hep-ph/0509206

  131. Peter Brockway Arnold and Guy D Moore, Phys. Rev. D 73, 025013 (2006), hep-ph/0509226

  132. Kenji Fukushima, Francois Gelis and Larry McLerran, Nucl. Phys. A 786, 107 (2007), hep-ph/0610416

  133. Dietrich Bodeker and Kari Rummukainen, J. High Energy Phys. 0707, 022 (2007), 0705.0180

  134. Peter Brockway Arnold and Guy D Moore, Phys. Rev. D 76, 045009 (2007), 0706.0490

  135. J Berges, S Scheffler and D Sexty, Phys. Lett. B 681, 362 (2009), 0811.4293

  136. Juergen Berges, Daniil Gelfand, Sebastian Scheffler and Denes Sexty, Phys. Lett. B 677, 210 (2009), 0812.3859

  137. Juergen Berges, Jens Pruschke and Alexander Rothkopf, Phys. Rev. D 80, 023522 (2009), 0904.3073

  138. Andreas Ipp, Anton Rebhan and Michael Strickland, Phys. Rev. D 84, 056003 (2011), 1012.0298

  139. Kevin Dusling, Francois Gelis and Raju Venugopalan, Nucl. Phys. A 872, 161 (2011), 1106.3927

  140. In the context of viscous hydrodynamics, this translates into including the viscous corrections to the thermal one-particle distribution function self-consistently in the hydrodynamic simulation as well as the process under consideration.

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Acknowledgements

This work was supported in part by DOE Grant No. DE-SC0004104.

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STRICKLAND, M. Thermalization and isotropization in heavy-ion collisions. Pramana - J Phys 84, 671–684 (2015). https://doi.org/10.1007/s12043-015-0972-1

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